Getting rid of a flat roof.

Hello, this is my first post and I hope I can be clear on what I am looking for. I have two gable roofs that have peaks going North/South and East/West. They intersect on the North-East corner. In the South-West corner of this intersection the previous owner added on a bathroom and used a flat roof that fits into that 90 degree corner. I am doing some remodeling and have the bathroom gutted and I wanted to modify the roof so it will not be flat anymore. How can I frame the roof so that it will be functional as well as aesthetically pleasing? Below is a link to a very poorly drawn roof of what I am talking about.

Getting rid of a flat roof.

That is a familiar looking situation, but without a pic it leaves a lot of variables on the table.

I would think your going to be very limited with how much pitch you can add. The more pitch you add the more it will involve the existing roof and wall and the cost with be high. I think the quickest solution (based on no pic) would be a tapered foam system and a new "low" slope roof system.

Getting rid of a flat roof.

I would put a gable roof on it. That is similar to my home. When I added on to my living room it was in the same spot that your room with the flat room is on. The only thing is, you would have to make sure that the water is running off between the existing hip and the newly built gable. Odds are water won't pool there, but you have to make sure it runs. I like to see it run off fast, but you would have to make sure that it slopes pretty good between the hip and the gable.

I think it would look better with the gable than anything else. Just have to make sure the water runs off to the right. And then a gutter would catch it and bring it to the ground. That is what i would do.